peel vs break off

peel is a noun but break off is not a noun.

Word	Noun	Adjective	Verb	Adverb
peel	Yes	No	Yes	No
break off	No	No	Yes	No

As verbs, break off is a hypernym of peel; that is, break off is a word with a broader meaning than peel:

Other hypernyms of peel include break away, chip, chip off, come off.

peel (noun)	break off (noun)
the rind of a fruit or vegetable

peel (verb)	break off (verb)
get undressed	prevent completion
remove the skin from	interrupt before its natural or planned end
come off in flakes or thin small pieces	break a small piece off from
	break off (a piece from a whole)
	break a piece from a whole